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arXiv · 1404.2009

Braiding Operator via Quantum Cluster Algebra

Kazuhiro Hikami·Rei Inoue
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Abstract

We construct a braiding operator in terms of the quantum dilogarithm function based on the quantum cluster algebra. We show that it is a q-deformation of the R-operator for which hyperbolic octrahedron is assigned. Also shown is that, by taking q to be a root of unity, our braiding operator reduces to the Kashaev R-matrix up to a simple gauge-transformation.

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BibTeXRIS

Kazuhiro Hikami, Rei Inoue. 2014-04-08. Braiding Operator via Quantum Cluster Algebra. https://arxiv.org/abs/1404.2009

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